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Worksheets

Ажара Медиева

Total questions: 4

Worksheet time: 20mins

Name
Class
Date
1.

 (1+m1−m+4m1+m2+8m1−m4−1−m1+m)÷(1+m21−m2+4m21+m2−1−m21+m2)\left(\frac{1+m}{1-m}+\frac{4m}{1+m^2}+\frac{8m}{1-m^4}-\frac{1-m}{1+m}\right)\div\left(\frac{1+m^2}{1-m^2}+\frac{4m^2}{1+m^2}-\frac{1-m^2}{1+m^2}\right)  

a)

 2(1+m4)m\frac{2\left(1+m^4\right)}{m}  

b)

 2(1−m4)m\frac{2\left(1-m^4\right)}{m}  

c)

 4(1−m4)m2\frac{4\left(1-m^4\right)}{m^2}  

d)

 4(1−m2)m\frac{4\left(1-m^2\right)}{m}  

2.

 a3+b3+c3−3abc(a−b)2+(b−c)2+(c−a)2\frac{a^3+b^3+c^3-3abc}{\left(a-b\right)^2+\left(b-c\right)^2+\left(c-a\right)^2}  

a)

 a+b+c3\frac{a+b+c}{3}  

b)

 2a+2b+2c2\frac{2a+2b+2c}{2}  

c)

 a+b+c2\frac{a+b+c}{2}  

d)

 a+b+c4\frac{a+b+c}{4}  

3.

 (a2−b2−c2−2bc)(a+b−c)(a+b+c)(a2+c2−2ac−b2)\frac{\left(a^2-b^2-c^2-2bc\right)\left(a+b-c\right)}{\left(a+b+c\right)\left(a^2+c^2-2ac-b^2\right)}  

a)

4

b)

3

c)

2

d)

1

4.

 x3−x2−x+1x4−x3−3x2+5x−2\frac{x^3-x^2-x+1}{x^4-x^3-3x^2+5x-2}  

a)

 x+1x2+x−2\frac{x+1}{x^2+x-2}  

b)

 x−1x2+x−2\frac{x-1}{x^2+x-2}  

c)

 x+1x2+x+2\frac{x+1}{x^2+x+2}  

d)

 x+1x2−x−2\frac{x+1}{x^2-x-2}